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23 lines
971 B
23 lines
971 B
$\mathcal{A} = \text{People}$ \\
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\begin{enumerate}
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\item $\exists x \big(S(x) \land L(x, Alice)\big)$ \\
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$S(x) \ldots $ $x$ is a student \\
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$L(x, y) \ldots $ $x$ likes $y$ \\
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\item $\forall x \big(T(x) \imp L(x, Bob)\big)$ \\
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$T(x) \ldots $ $x$ is a teacher \\
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$L(x, y) \ldots $ $x$ likes $y$ \\
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\item $\exists x \big(S(x) \land \forall y \big(T(y) \imp L(x, y)\big) \big)$ \\
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$S(x) \ldots $ $x$ is a student \\
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$T(x) \ldots $ $x$ is a teacher \\
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$L(x, y) \ldots $ $x$ likes $y$ \\
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\item $P(Bob) \land \exists x \big(S(x) \land P(x)\big)$ \\
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$S(x) \ldots $ $x$ is a student \\
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$P(x) \ldots $ $x$ plays a game \\
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\item $\lnot \forall x \big(S(x) \imp P(x)\big)$\\
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$S(x) \ldots $ $x$ is a student \\
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$P(x) \ldots $ $x$ plays a game \\
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\item $\exists x \big(T(x) \imp \lnot P(x)\big)$\\
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$T(x) \ldots $ $x$ is a teacher \\
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$P(x) \ldots $ $x$ plays a game
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\end{enumerate}
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